A curve has the equation 2x2−xy+3y+y2=102x^2 - xy + 3y + y^2 = 102x2−xy+3y+y2=10:
Find an expression for dydx\displaystyle \frac{dy}{dx}dxdy
Find an equation for the tangent to the curve at the point P(2,1)P(2, 1)P(2,1)
333 exam-style questions on WJEC A Level Maths 3.6 Differentiation (A-level only), covering 3.6.1 Differentiation (A-level only), 3.6.2 Differentiation (A-level only), 3.6.3 Differentiation (A-level only), 3.6.4 Differentiation (A-level only), 3.6.5 Differentiation (A-level only), 3.6.6 Differentiation (A-level only), 3.6.7 Differentiation (A-level only), and 3.6 Differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.